I've downloaded and installed AI CS6 on my Windows Vista machine using the App Manager (Cloud). The exe file starts, then closes without opening the software. I don't receive any error messages. Any suggestions?

It may not be officially supported, but it should run, regardless. Anyway, without more info this is going nowhere. We need to know exact computer specs and the info on the crash from the system event viewer.

Adobe doesn't officially supported Vista, but I can run it. I downloaded the 30 day test version of CS6 right after my problem and that runs fine on my computer. I got an Adobe Cloud membership yesterday and the version downloaded from the Cloud (using Adobe Application Manager)won't open on my computer. I tried again through the Cloud to download a different software, too (InDesign), and it does the same thing: I click on the exe, it shows up in my processes window, then disappears again without having opened anything. I never get any error messages for either software. Has anyone else using the Cloud had similar problems?

Could you please try restarting the your machine and then run the application. Some people faced similar problem with Cs5 products after installing CS6 you can check following forum for more solutions on this :http://forums.adobe.com/message/4399331#4399331